 TOPICS # Power Spectrum

For a given signal, the power spectrum gives a plot of the portion of a signal's power (energy per unit time) falling within given frequency bins. The most common way of generating a power spectrum is by using a discrete Fourier transform, but other techniques such as the maximum entropy method can also be used.

Discrete Fourier Transform, Fourier Series, Fourier Transform, Maximum Entropy Method, Parseval's Theorem, Plancherel's Theorem, Wiener-Khinchin Theorem

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## References

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Power Spectra Estimation Using the FFT" and "Power Spectrum Estimation by the Maximum Entropy (All Poles) Method." §13.4 and 13.7 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 542-551 and 565-569, 1992.

Power Spectrum

## Cite this as:

Weisstein, Eric W. "Power Spectrum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerSpectrum.html